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Patrick Dehornoy
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1	Braid Order: History and Connection with Knots Patrick Dehornoy Laboratoire de Math´ ematiques Nicolas Oresme, Universit´ Add to Reading List Source URL: math.unicaen.fr Language: English - Date: 2009-05-23 12:49:18 Knot theory Functions and mappings Model theory Group theory Braid group Embedding Braid theory Injective function Constructible universe Mathematics Topology Abstract algebra
2	Patrick DEHORNOY Ivan DYNNIKOV Dale ROLFSEN Bert WIEST WHY ARE BRAIDS ORDERABLE? Add to Reading List Source URL: perso.univ-rennes1.fr Language: English - Date: 2014-09-05 09:08:33 Topology Braid groups Order theory Group theory Dehornoy order Representation theory Braid theory Mapping class group Patrick Dehornoy Abstract algebra Knot theory Mathematics
3	Contemporary Mathematics THIN GROUPS OF FRACTIONS Patrick DEHORNOY Abstract. A number of properties of spherical Artin–Tits groups extend to Garside groups, defined as the groups of fractions of monoids where least co Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2002-01-29 15:00:19 Semigroup theory Algebraic structures Category theory Monoid Inverse element Semigroup Garside element Cancellation property Syntactic monoid Abstract algebra Algebra Mathematics
4	ON COMPLETENESS OF WORD REVERSING PATRICK DEHORNOY Abstract. Word reversing is a combinatorial operation on words that detects pairs of equivalent words in monoids that admit a presentation of a certain form. Here we giv Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2000-05-10 06:52:32 Algebraic topology Sheaf Monoid Rewriting Function Mathematics Abstract algebra Mathematical logic
5	[removed]A Fast Method for Comparing Braids Patrick DEHORNOY Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2005-09-07 10:03:11 Group theory Knot theory Combinatorics on words Combinatorial group theory Ropework Braid group Braid theory Reduction Presentation of a group Abstract algebra Mathematics Algebra
6	98.03 GAUSSIAN GROUPS ARE TORSION FREE Patrick DEHORNOY Abstract. Assume that G is a group of fractions of a cancellative monoid where lower common multiples exist and divisibility has no inﬁnite descending Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2003-11-04 14:02:51 Semigroup theory Algebraic structures Formal languages Monoid Rewriting Semigroup Cancellation property Free monoid Garside element Abstract algebra Mathematics Algebra
7	Alg`ebre/Algebra Deux propri´ et´ es des groupes de tresses. Patrick Dehornoy Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2005-09-07 09:58:47
8	[removed]STUDY OF AN IDENTITY Patrick DEHORNOY Abstract. We solve the word problem of the identity x(yz) = (xy)(yz) by investigating Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2000-01-25 04:59:19 Mathematics Constructible universe Monoid Vehicle Identification Number
9	Contemporary Mathematics Using shifted conjugacy in braid-based cryptography Patrick DEHORNOY Abstract. Conjugacy is not the only possible primitive for designing braidbased protocols. To illustrate this principle, we d Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2006-08-29 03:42:11 Knot theory Braid group Garside element Conjugacy class Conjugacy problem Braid theory Patrick Dehornoy XTR Abstract algebra Algebra Group theory
10	DISKS IN TRIVIAL BRAID DIAGRAMS PATRICK DEHORNOY Abstract. We show that every trivial 3-strand braid diagram contains a disk, deﬁned as a ribbon ending in opposed crossings. Under a convenient algebraic form, the resul Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2003-11-12 08:03:40 Algebraic structures Braid group Group theory Knot theory Monoid Garside element Abstract algebra Algebra Semigroup theory

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